Hamiltonian-Jacobi Equation for Torsional Problems of Corrugated Steel Web Box Girders

Due to the use of corrugated steel plate in the web, the torsional performance of the beam body will be weakened to a certain extent. In this paper, the Hamiltonian-Jacobian equation is used to analyze the torsion of the corrugated steel web composite box girder. The Lagrangian function of the system is obtained by taking the warping function and the relative torsion angle of the cross-section as the two generalized coordinates, and the Hamiltonian-Jacobian equation for the torsion problem is established by using the regular transformation. The accuracy of the proposed method is verified by comparing the obtained results with the literature values, and the fact that the torsional performance of the beam is weakened by using corrugated steel plate is verified by using the results of this paper.